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Finding the Fourth Proportional to 32,297.14, 44,611.39 and 24,697.32

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Solution

The fourth proportional to 32,297.14, 44,611.39 and 24,697.32 is: 34,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,297.14 : 44,611.39 = 24,697.32 : x
  2. Step 2: Convert to fraction form
    32,297.14/44,611.39 = 24,697.32/x
  3. Step 3: Cross multiply
    32,297.14x = 44,611.39 × 24,697.32
  4. Step 4: Simplify right side
    32,297.14x = 1,101,781,551.42
  5. Step 5: Solve for x
    x = 1,101,781,551.42/32,297.14
  6. Step 6: Final answer
    x = 34,113.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.